Questions tagged [duality]
The duality tag has no usage guidance.
78
questions with no upvoted or accepted answers
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Intuition for Homological Mirror Symmetry
first of all, I need to confess my ignorance concerning physics since I'm a mathematician. I'm interested in the physical intuition of the Langlands program, therefore I need to understand what ...
- 1,043
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How does one actually apply the M-theory/heterotic duality "fiberwise"?
It seems to be generally accepted ([1], [2]) that one can apply the duality between a $T^3$ compactification of heterotic string theory and a $\mathrm{K3}$ compactification of M-theory "fiberwise&...
- 126k
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Level-rank duality in WZW models and CS theories
Cross-posting from Physics Overflow: https://www.physicsoverflow.org/41281/level-rank-duality-in-wzw-models-and-cs-theories
I know that the classical level-rank duality in the $\widehat{\mathfrak{sl}}...
- 138
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Baryonic operators in ${\cal N}=1$ $U(N)$ SQCD in four dimensions
Seiberg's duality is usually considered as a duality for $SU(N_c)$ theories with $N_f$ flavors. In his case, the vacuum for $N_f \geq N_c$ is parameterized by mesons $M$ and baryons ${\bar B}$ and $B$....
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String landscape in different dimensions
For D = 11 large (uncompactified) spacetime dimensions, the only "string theory" vacuum is M-theory
For D = 10, there are 5 vacua. Or maybe it's more correct to say 4, since type I is S-dual to $Spin(...
Squark
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78
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How many Lagrangians can a QFT have?
I just stumbled across a presentation by Tachikawa about "What is Quantum Field Theory". He has an interesting perspective that we should think of (at least a subset of) quantum field ...
- 1,014
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Question about the duality between 2+1 d transverse-field Ising model (TFIM) and $\mathbb{Z}_2$ gauge theory
I was reading McGreevy's Lecture notes Where do QFTs come from?
, and on chapter 5 he talks about a duality between the $2+1d$ transverse-field Ising model (TFIM) and the $\mathbb{Z}_2$ gauge theory, ...
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Reading list for JT/SYK correspondence
I have been studying Gábor Sárosi's review of holographic duality between Jackiw-Teitelboim gravity and the Sachdev-Ye-Kitaev models for the last few days. This field has grown since the review came ...
5
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$T$-duality in effective gauge theories of a $D(p+1)$-brane
I am considering a $D(p+1)$-brane in a space $\mathbb R^{1,p}\times S_R^1$ where $S_R^1$ is the circle of radius $R$. I am assuming low energies $ER\ll1$, so that only the massless spectrum of the ...
4
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Derivation of self-dual gravity formulae
I am trying to read and understand this paper by Monteiro, Stark-Muchao, and Wikeley about self-dual yang-mills and self-dual gravity.
In the introduction to this paper, they review a way to ...
4
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How do we perform a perturbative expansion for magnetic monopoles?
Magnetic monopoles in non-abelian (and even abelian) gauge theory essentially appear as a non-perturbative, composite phenomenon if we perform the standard perturbative expansion in terms of, say, ...
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How to calculate the "vortex" correlation function in 2D free system?
I want to calculate the following correlation function in 2D square lattice:
$$G(i, j, \tau) \equiv\left\langle e^{-\frac{i}{2}\left[\hat{\Phi}_{i}(\tau)-\hat{\Phi}_{j}(0)\right]}\right\rangle_{0}$$
$\...
- 1,602
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Why is the Jordan-Wigner transformation an example of an S-duality?
The Jordan-Wigner transformation allows one to map a spin theory to a fermionic theory and, according to wikipedia, it is an example of an S-duality. In turn, according to the wiki page for the S-...
- 1,544
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One-loop exactness of self-dual Yang-Mills theory
The self-dual Yang-Mills theory (gauge group $G$) with the action:
$$
\mathcal{S} = \int_{M} \text{Tr} (B^{+} \wedge F)
$$
where $B^{+}$ is a self-dual field, transforming in the adjoint ...
- 4,883
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Constructing a Hubbard-Stratonovich Transform that goes from a theory of Electrostatics to a theory like Magnetostatics
I'm talking about a completely classical theory.
Suppose I start with
$$H = \int(\nabla \phi)^2 $$
I am talking about calculation of the partition function here
$$Z = \int D[\phi] e^{(-\beta\int(\...
